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Math

QuestionHow many times greater is a cat's current weight (8 pounds, 12 ounces) than its birth weight (3.5 ounces)?

Studdy Solution

STEP 1

Assumptions1. The cat's birth weight is 313 \frac{1}{} ounces. The cat's weight at12 weeks is3 pounds,4 ounces3. The cat's current weight is8 pounds,12 ounces4. We need to find how many times greater the cat's current weight is than its birth weight5.1 pound is equal to16 ounces

STEP 2

First, we need to convert all weights to the same unit for comparison. We'll convert all weights to ounces.
Weight in ounces=Weight in poundstimes16+Weight in ouncesWeight\, in\, ounces = Weight\, in\, pounds \\times16 + Weight\, in\, ounces

STEP 3

Now, plug in the given values for the cat's birth weight to convert it to ounces.
Birth weight in ounces=0times16+312Birth\, weight\, in\, ounces =0 \\times16 +3 \frac{1}{2}

STEP 4

Calculate the birth weight in ounces.
Birth weight in ounces=0times16+312=3. ouncesBirth\, weight\, in\, ounces =0 \\times16 +3 \frac{1}{2} =3.\, ounces

STEP 5

Now, plug in the given values for the cat's current weight to convert it to ounces.
Current weight in ounces=8times16+12Current\, weight\, in\, ounces =8 \\times16 +12

STEP 6

Calculate the current weight in ounces.
Current weight in ounces=8times16+12=140 ouncesCurrent\, weight\, in\, ounces =8 \\times16 +12 =140\, ounces

STEP 7

Now that we have both the birth weight and the current weight in the same unit (ounces), we can find how many times greater the cat's current weight is than its birth weight.
Times greater=Current weight in ouncesBirth weight in ouncesTimes\, greater = \frac{Current\, weight\, in\, ounces}{Birth\, weight\, in\, ounces}

STEP 8

Plug in the values for the current weight and the birth weight to calculate how many times greater the current weight is.
Times greater=140 ounces3.5 ouncesTimes\, greater = \frac{140\, ounces}{3.5\, ounces}

STEP 9

Calculate how many times greater the cat's current weight is than its birth weight.
Times greater=140 ounces3.5 ounces=40Times\, greater = \frac{140\, ounces}{3.5\, ounces} =40The cat's current weight is40 times greater than its birth weight. So, the correct answer is C.40.

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